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  • I have a doubt, kindly clarify. - Differential equations - JEE Main-3

Order of differential equation for family of curves y=asin^{2}x+bcos^{2}x+c will be, (a,b,c are arbitrary constants).

  • Option 1)

    1

  • Option 2)

    2

  • Option 3)

    3

  • Option 4)

    4

 

Answers (1)

best_answer

As we learnt

 

Differential Equation of order n -

 

f\left ( x,y,c_{1},c_{2},c_{3}\cdot \cdot \cdot ,c_{n} \right ) =0

where c_{1},c_{2},c_{3}\cdot \cdot \cdot c_{n} are  n arbitrary constants, we have to eliminate the n constants for which we require (n+1) equations

-

 

 y=asin^{2}x+b\left ( 1-sin^{2} x\right )+c\Rightarrow y=(a-b)sin^{2}x+(b+c)

y=k_1sin^{2}x+k_2

Order will be 2.

 


Option 1)

1

Option 2)

2

Option 3)

3

Option 4)

4

Posted by

Himanshu

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